1 + sin 2x - sin x = cosx

1 + sin 2x - sin x = cosx sin^2x + 2sinxcosx+ cos^2x  - sinx - cosx = 0 (sinx + cosx)^2 - (sinx + cosx) = 0 (sinx + cosx)*(sinx + cosx - 1)=0   1) sin x + cos x = 0 tgx + 1 =0 tgx = -1 x= - pi/4+pik, k∈Z   2) sinx + cosx = 1 √2*sin(pi/4 + x)= 1 sin(pi/4 + x)= √2/2   pi/4+x=pi/4+2pik x=pi/4-pi/4+2pik x=2pik, k∈Z   pi/4+x=3pi/4+2pik x=3pi/4-pi/4+2pik x=pi/2+2pik, k∈Z